Question

factorisation of X^4+X^2+1​

Answer 1

Hiiiiiiiii

Hiiiiiiiii your answer is here

Consider x4 + x2 + 1

= (x4 + 2x2 + 1) – x2

= [(x2)2 + 2x2 + 1] – x2 = [x2 + 1]2 – x2

It is in the form of

(a2 – b2) = (a + b)(a – b)

Hence [x2 + 1]2 – x2 =

[x2 + 1 + x] [x2 + 1 – x]

Answer 2

...........Heya mate..........

..........Your Answer ........

♪ ♬ ヾ(´︶`♡)ﾉ ♬ ♪

$\huge\ddot{\smile}$

${x}^{4} + {x}^{2} + 1 \\ \\ = \geqslant ( {x}^{4} + 2 {x}^{2} + 1) - {x}^{2} \\ \\ = \geqslant ( {x}^{2} + 1) {}^{2} - {x}^{2} \\ \\ = \geqslant ( {x}^{2} + 1 - x) \: ( {x}^{2} + 1 + x) \\ \\ = \geqslant ( {x}^{2} - x + 1) \: ( {x}^{2} + x + 1) \\ \\ = \geqslant ( {x}^{2} + x + 1) \: ( {x}^{2} - x + 1)$